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Finding the Fourth Proportional to 481.70, 664.75 and 282.49

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Solution

The fourth proportional to 481.70, 664.75 and 282.49 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.70 : 664.75 = 282.49 : x
  2. Step 2: Convert to fraction form
    481.70/664.75 = 282.49/x
  3. Step 3: Cross multiply
    481.70x = 664.75 × 282.49
  4. Step 4: Simplify right side
    481.70x = 187,783.57
  5. Step 5: Solve for x
    x = 187,783.57/481.70
  6. Step 6: Final answer
    x = 389.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.